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Finding the Fourth Proportional to 2,843.81, 3,922.80 and 1,959.56

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Solution

The fourth proportional to 2,843.81, 3,922.80 and 1,959.56 is: 2,703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.81 : 3,922.80 = 1,959.56 : x
  2. Step 2: Convert to fraction form
    2,843.81/3,922.80 = 1,959.56/x
  3. Step 3: Cross multiply
    2,843.81x = 3,922.80 × 1,959.56
  4. Step 4: Simplify right side
    2,843.81x = 7,686,961.97
  5. Step 5: Solve for x
    x = 7,686,961.97/2,843.81
  6. Step 6: Final answer
    x = 2,703.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.